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A piecewise function is a function f (x) which has different definitions in different intervals of x. The graph of a piecewise function has different pieces corresponding to each of its definitions. The absolute value function is a very good example of a piecewise function. Let us see why is it called so.
Given a piecewise function, sketch a graph. Indicate on the x-axis the boundaries defined by the intervals on each piece of the domain. For each piece of the domain, graph on that interval using the corresponding equation pertaining to that piece.
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
Find out what a piecewise function is, how to graph one, and how to write one if given the function's graph. Consider practicing writing functions using the ... AP Calculus
Free piecewise functions calculator - explore piecewise function domain, range, intercepts, extreme points and asymptotes step-by-step.
To graph such a function, we need to know how to graph the pieces that correspond to the different rules on their subdomains. The greatest integer (or floor) function and its graph, seen in calculus and computer science, exhibit similar features.
To graph a piecewise function, graph each subfunction at the indicated domain. Be wary of the inequality symbols ( , ≤ , > , ≥ ) and whether they include or exclude the end of the subdomain. If they include the domain, draw a point and fill it in.
